# Ramesh Babu is an officer in health department. He raids on milk dairy. There he take 3 samples in which the proportion of milk and water is 4 : 1, 3

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Ramesh Babu is  an officer in health department. He raids on milk dairy. There he take 3 samples in which the proportion of milk and water is 4 : 1, 3 : 2 and 2 : 3. Then a mixture comprising equal quantities of all three samples is made. Find the proportion of milk and water with in the mixture.
1. 2 : 3
2. 3 : 1
3. 3 : 2
4. 2 : 1

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Correct Answer - Option 3 : 3 : 2

Given:

Ratio of milk and water in 3 different samples are 4 : 1, 3 : 2 and 2 : 3

Formula  Used:

Simple Concept of Ratios

Calculation:

Proportion of milk in 3 samples is 4/5, 3/5 and 2/5

Proportion of water in 3 samples is 1/5, 2/5 and 3/5

Since equal quantities are taken,

Total proportion of milk = 4/5 + 3/5 + 2/5 = 9/5

Total proportion of water = 1/5 + 2/5 + 3/5 = 6/5

Proportion of milk and water in the solution = 9/5 + 6/5 = 9/6 = 3/2 = 3 : 2

∴ The required proportion is 3 : 2.